I just received my C2 and also some clear case from Amazon that stated C2 compatibility.

However, to my surprise, the power socket is well under the plastic and doesn't match the original video hole position.It seems that all "C2 compatible" cases are essentially RPi and would have the same problem.

Is there a case that fully matches C2, including the power connection? It would have to be an actively cooled one as otherwise the temperatures on this board easily hover to almost 70C at pretty light load...

So, is there a good case that you would recommend - with a correct power hole and a fan?

The official C2 case works great. I use the DC plug and jack and have removed the J1 jumper for low power consumption. My C2 has been running non-stop for over a year and I haven't needed a fan as I haven't experienced any temperature issues.